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Finding the Fourth Proportional to 8,269.87, 11,412.43 and 4,493.00

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Solution

The fourth proportional to 8,269.87, 11,412.43 and 4,493.00 is: 6,200.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,269.87 : 11,412.43 = 4,493.00 : x
  2. Step 2: Convert to fraction form
    8,269.87/11,412.43 = 4,493.00/x
  3. Step 3: Cross multiply
    8,269.87x = 11,412.43 × 4,493.00
  4. Step 4: Simplify right side
    8,269.87x = 51,275,990.93
  5. Step 5: Solve for x
    x = 51,275,990.93/8,269.87
  6. Step 6: Final answer
    x = 6,200.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.